Classical-quantum arbitrarily varying wiretap channel-A capacity formula with Ahlswede Dichotomy-Resources

• Published in: 2014 IEEE International Symposium on Information Theory pp. 146 - 150
• Main Authors: Boche, Holger, Minglai Cai, Deppe, Christian
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-06-2014
• Subjects: Correlation; Information theory; Law; Quantum entanglement; Receivers
• ISSN: 2157-8095; 2157-8117
• DOI: 10.1109/ISIT.2014.6874812

We establish the Ahlswede Dichotomy for arbitrarily varying classical-quantum wiretap channels, i.e., either the deterministic secrecy capacity of an arbitrarily varying classical-quantum wiretap channel is zero, or it equals its randomness assisted secrecy capacity. We analyze the secrecy capacity of arbitrarily varying classical-quantum wiretap channels when the sender and the receiver use various resources. It turns out that having randomness, common randomness, and correlation as resources are very helpful for achieving a positive deterministic secrecy capacity of arbitrarily varying classical-quantum wiretap channels. We prove the phenomenon "super-activation" for arbitrarily varying classical-quantum wiretap channels, i.e., two arbitrarily varying classical-quantum wiretap channels, both with zero deterministic secrecy capacity, if used together allow perfect secure transmission.